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The purpose of this paper is to present a brief exposure to the development of the threshold concepts framework (TCF), the intention being to illuminate for interested readers a broader landscape of research activity than that perhaps conveyed by the individual contributions to this special edition.

There is first an account of how the notion of a “threshold concept” was presented by Meyer and Land in their seminal 2003 paper, and a clarification of some terminology used by them at that time to describe the (confusing for some) “characteristics” of such a concept. A discursive account, with examples, follows on how analyses for, and of, threshold concepts might proceed, and how findings might provoke a reappraisal of associated learning and teaching practices. Towards this end a contemporary pedagogical perspective is introduced based on the construct of integrated threshold concept knowledge (ITCK) as proposed by Meyer and Timmermans (2016). Reference to a detailed case study illustrates the practical dynamics of generating ITCK; specifically in the context of a third-year engineering course embedding the threshold of “critical flow”. Activities and processes, transferable to other discipline contexts, are described that yield particular elements of ITCK (different constituent “types of knowledge”) in relation, in this case, to “critical flow”. A final consideration is the “representation” of “critical flow” for pedagogical purposes in the form of a metacognitive activity for learning and formative assessment purposes that is, again, adaptable to other discipline contexts.

There are no specific findings in this paper as its purpose is to provide a condensed review of the development of the TCF.

This value of this paper is that it provides a contemporary expert exposure to the development of the TCF by the originator of the notion of a threshold concept.

Most empirical papers on threshold effects between debt and growth focus on developed countries or a mix of developing and developed economies, often using public debt. Evidence for developing economies is inconclusive, as is the analysis of other threshold effects such as those probably caused by the level of relative development or the repayment capacity. The objective of this study was to examine threshold effects for developing economies, including external and total debt, and identify them in the debt-growth relation considering three determinants: debt itself, initial real Gross Domestic Product (GDP) per capita and debt to exports ratio.

We used a panel threshold regression model (PTRM) and a dynamic panel threshold model (DPTM) for a sample of 47 developing countries from 1970 to 2019.

We found (1) no evidence of threshold effects applying total debt as a threshold variable; (2) one critical value for external debt of 42.32% (using PTRM) and 67.11% (using DPTM), above which this factor is detrimental to growth; (3) two turning points for initial GDP as a threshold variable, where total and external debt positively affects growth at a very low initial GDP, it becomes nonsignificant between critical values, and it negatively influences growth above the second threshold; (4) one critical value for external debt to exports using PTRM and DPTM, below which external debt positively affects growth and negatively above it.

The outcome suggests that only poorer economies can leverage credits. The level of the threshold for the debt to exports ratio is higher than that found in previous literature, implying that the external restriction could be less relevant in recent periods. However, the threshold for the external debt-to-GDP ratio is lower compared to previous evidence.

Uses a large sample survey of businesses to demonstrate that a critical mass threshold exists for their use of business support organization services. This critical mass threshold is very marked for the two organizations examined: British case studies of chambers of commerce and government‐supported business training and advice bodies. Beyond this threshold, managers of chambers of commerce can achieve nonlinear returns to scale, while returns to scale for government‐supported bodies are almost exactly linear. Infers that this results from the very different motives of commercially based chambers and their members, compared to government‐supported bodies, which allow the benefits of service bundling for chambers while managers of government bodies have to deal with multiple discrete programmes offering few synergies. Also examines the effects of external economies of agglomeration and shows that these increase market penetration and hence reduce the catchment sizes necessary to reach critical mass only in the case of the most agglomerated urban and industrial centres.

This study provides the critical masses (thresholds) at which the positive incidence of finance and economic growth will be dampened by the negative effects of income inequality and poverty on energy consumption in Sub-Saharan Africa for policy direction.

The study employed the two steps systems GMM estimator for 41 countries in Africa from 2005–2020.

The study found that for finance to maintain a positive effect on energy consumption per capita, the critical thresholds for the income inequality indicators (Atkinson coefficient, Gini index and the Palma ratio) should not exceed 0.681, 0.582 and 5.991, respectively. Similarly, for economic growth (GDP per capita growth) to maintain a positive effect on energy consumption per capita, the critical thresholds for the income inequality indicators (Atkinson coefficient, Gini index and the Palma ratio) should not exceed 0.669, 0.568 and 6.110, respectively. On the poverty level in Sub-Saharan Africa, the study reports that the poverty headcount ratios (hc$144ppp2011, hc$186ppp2011 and hc$250ppp2005) should not exceed 7.342, 28.278 and 129.332, respectively for financial development to maintain a positive effect on energy consumption per capita. The study also confirms the positive nexus between access to finance (financial development) and energy consumption per capita, with the attending adverse effect on CO₂ emissions inescapable. The findings of this study make it evidently clear, for policy recommendation that finance is at the micro-foundation of economic growth, income inequality and poverty alleviation. However, a maximum threshold of income inequality and poverty headcount ratios as indicated in this study must be maintained to attain the full positive ramifications of financial development and economic growth on energy consumption in Sub-Saharan Africa.

The originality of this study is found in the computation of the threshold and net effects of poverty and income inequality in economic growth through the conditional and unconditional effects of finance.

This article aims to analyze strategically optimal maintenance actions for a multi‐component system whose deterioration is observed through a monitoring system set in place to support condition‐based maintenance.

Deterioration of a multi‐component system is modeled by a continuous‐time jump diffusion model which incorporates interaction between the components of the system. A simulation‐based optimization heuristic is developed to obtain strategically optimum maintenance actions. The methodology is applied to an illustrative example.

The article finds that the framework facilitates analyzing at a strategic level the role of degree of response to the deterioration of components for the overall functionality of a multi‐component system. The optimal solution for the illustrative example recommends a provider to perform a variety of opportunistic maintenance.

In this article, a framework is developed to determine strategically optimal maintenance actions for a multi‐component system whose deterioration is observed in real‐time through embedded monitoring units set in place to support condition‐based maintenance (CBM). The framework facilitates analyzing at a strategic level the role of degree of response to the deterioration of components for the overall functionality of a multi‐component system. A strategically optimal maintenance policy can then be enhanced to develop a detailed tactical maintenance strategy. This approach is expected to benefit the management of long‐term service agreements, where a service contract is sold bundled with a product, which makes a provider responsible for maintaining the product over a specified contract period.

Besides a tactical approach for performing maintenance, in order to stay profitable in the long‐run, a decision maker needs to assess the strategic performance of maintenance strategies adopted. This framework is a first attempt to facilitate this analysis at a strategic level for a monitoring‐enabled multi‐component system.

The study aims to complement extant literature by assessing linkages between financial development, external flows and CO₂ emissions in 27 sub-Saharan African countries for the period 2002 to 2018.

The empirical evidence is based on interactive quantile regressions and external flows consist of remittances, foreign aid, trade openness and foreign investment.

The findings show minimum levels of external flows that should be reached in order for the interaction between external flows and financial development to promote environmental sustainability in terms of reducing CO₂ emissions. The minimum thresholds are critical levels of external flows that should be reached before financial development promotes environmental sustainability.

Policy implications – The disclosed external flow (i.e. FDI, foreign aid, trade and remittances) thresholds are actionable policy thresholds that the government can act upon in order to influence environmental sustainability by means of financial development. Theoretical implications – The findings below the external flow thresholds are consistent with the dependency theory in that external flows are harmful to socio-economic progress and environmental sustainability. When external flows are consolidated to the established critical masses or thresholds in the long run, the corresponding findings are in line with the extant neoclassical and endogenous growth theories, not least, because in the long run, external flows are associated with technological progress and adoption of stronger environmental legislation at the domestic level which are worthwhile in promoting environmental performance.

To reach the minimum trade and FDI levels that are worthwhile for the promotion of environmental sustainability, corporations should set targets on exports and imports as well as foreign investment levels that they have to attain in contributing to the national target of external flows needed to reduce CO₂ emissions. Such trade and FDI targets should be set in industries of various economic sectors.

The study complements the extant literature by assessing how external flows interact with financial development to influence CO₂ emissions.

One of the chief purposes of bibliometric analysis is to reveal the intellectual structure of a knowledge domain. Yet due to the magnitude and the heterogeneous nature of bibliometric networks, some sorts of filtering procedures are often required to make the resulting network interpretable. A co-word analysis of more than 135,000 scholarly publications on Buddhism was conducted to compare the intellectual structure of Buddhist studies in three language communities, Chinese, English and Japanese, over two periods (1957–1986 and 1987–2016). Six co-word similarity networks were created so social network analysis-based community-detection algorithm can be identified to compare major research themes in different languages and eras. The paper aims to discuss this issue.

A series of filtering procedures was performed to exclude less discriminatory keywords and spurious relationships of a large, cross-language co-word network in Buddhist studies. Chief among the filtering heuristics was a percolation-transition based method to determine the similarity threshold that involves observing the relative decrease of nodes in the giant component with the increasing similarity threshold.

It was found that the topical patterns in the Chinese and Japanese scholarship of Buddhism are alike and observably distinct from that of the English scholarship. Furthermore, a far more drastic changes of research themes were observed in the English literature relative to the Chinese and Japanese literature.

The filtering procedures were shown to greatly enhance the modularity values and limited the number of modularity classes; thus, domain expert interpretation is feasible.

The purpose of this study was to examine the boundary conditions of Kanter's (1977) tokenism theory as applied to the gender wage gap. The authors aimed to discover if there was a point where the relationship between the percentage of women in a job category and the gender wage gap changed, and, if so, where the threshold was located and what was the nature of the shift in relationship.

The authors used the Andrews’ (1993) threshold effects technique. Using 22 separate years of publicly available Canadian wage data, they examined the relationship between the percentage of females in 40 unique occupational categories and the female-to-male earnings ratio (for a total of 880 observations).

The results showed the existence of a threshold point, and that early gains in percent female within an occupation, up to approximately 14% female in the occupation, associate with strong gains in the female-to-male wage ratio. However, beyond that point, further gains in percent female associate with smaller improvements in the female-to-male wage ratio.

The findings are useful in understanding the dynamics of occupational group gender composition, potential theoretical reasons for the nuances in relationship, as well as opportunities that may facilitate more equitable outcomes.

The results show that, though improvements were made above and below the threshold point, enhancements in the wage gap are actually larger when there are less women in the job category (e.g. tokens).

In this study, we assess how the mobile phone can be leveraged upon to improve the role of governance in environmental sustainability in 44 Sub-Saharan African countries.

The Generalised Method of Moments is used to establish policy thresholds. A threshold is a critical mass or level of mobile phone penetration at which the net effect of governance on carbon dioxide (CO₂) emissions changes from positive to negative.

Mobile phone penetration thresholds associated with negative conditional effects are: 36 (per 100 people) for political stability/no violence; 130 (per 100 people) for regulation quality; 146.66 (per 100 people) for government effectiveness; 65 (per 100 people) for corruption-control and 130 (per 100 people) for the rule of law. Practical and theoretical implications are discussed.

The study provides thresholds of mobile phone penetration that are critical in complementing governance dynamics to reduce CO₂ emissions.

The purpose of this paper is to examine stock price crash risk (SPCR) as a function of meeting or missing three earnings thresholds – reporting a profit (earnings level), reporting an earnings increase (earnings change) and meeting analysts’ forecasts (earnings expectation).

The authors rely upon the research design of Herrmann et al. (2011) to identify the incremental impact of the earnings level and earnings change benchmarks on SPCR, after controlling for the effects of meeting or missing analysts’ expectations.

The authors find that meeting analysts’ expectations is negatively associated with SPCR, and this relationship strengthens with the magnitude of the unexpected earnings. However, the authors find little evidence of incremental threshold effects to suggest that earnings level and earnings change benchmarks are critical thresholds with respect to SPCR. Our results are robust after including a number of control variables.

This study contributes to the literature that investigates determinants of SPCR while simultaneously providing new evidence to conclusions that analysts’ earnings forecast is at the top of the earnings benchmark hierarchy.